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2244840 = 2335131439
BaseRepresentation
bin1000100100000011101000
311020001100020
420210003220
51033313330
6120040440
725036503
oct10440350
94201306
102244840
1112a3644
12903120
13607a10
1442613a
152e5210
hex2240e8

2244840 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 552192.

The previous prime is 2244821. The next prime is 2244841. The reversal of 2244840 is 484422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2244840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22244840 is an apocalyptic number.

2244840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2244840 is an abundant number, since it is smaller than the sum of its proper divisors (5012760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2244840 is a wasteful number, since it uses less digits than its factorization.

2244840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2244840 is about 1498.2790127343. The cubic root of 2244840 is about 130.9368224779.

The spelling of 2244840 in words is "two million, two hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1439 1560 2878 4317 5756 7195 8634 11512 14390 17268 18707 21585 28780 34536 37414 43170 56121 57560 74828 86340 93535 112242 149656 172680 187070 224484 280605 374140 448968 561210 748280 1122420 2244840